How do you solve these two equations. Please explain this to me!?

Question

4(4 - w) = 3(2w + 2)

9(4b - 1) = 2(9b + 3)

Answer 1

multiply (distribute)
16-4w=6w+6
subtract to get terms on correct side
10=2w
divide
w=5

distribute again
36b-9=18b+6
subtract to get on correct side
18b=15
divide
b-15/18
reduce
5/6

Answer 2

4(4 - w) = 3(2w + 2) multiply 4 by (4-w) and multiply 3 by (2w + 2)
16 - 4w = 6w + 6 add 4w to both sides and substract 6 from both sides
10 = 10w divide both sides by 10
1 = w

9(4b - 1) = 2(9b + 3) same procedure as the first one
36b - 9 = 18b + 6
18b = 15
b = 15/18 = 5/6

Answer 3

first distribute the number outside the parenthesis:
4(4 - w) = 3(2w + 2)
16 - 4w = 6w + 6
next group the letter terms on the left and the numbers only to the right, remember to change signs when you cross the equals sign.

the positive 16 becomes -16 and the positive 6w becomes a negative 6w like this:

-4w -6w = -16 +6
-10w = -10
divide both sides by -10 to get:
w=1


Same thing for part 2
36b - 9 = 18b + 6
36b - 18b = 6 + 9
18b = 15
b = 15/18 = 5/6

Answer 4

First multiply out. Get the variable to one side, then solve. So:

4(4 - w) = 3(2w + 2)
16-4w = 6w + 6
-6w-4w = 6 - 16
-10w = -10
w=1

9(4b - 1) = 2(9b + 3)
36b-9 = 18b + 6
18b = 15
b= 15/18

Not much to explain other than that.

Answer 5

Answers in a few.

1. 4(4-w) = 3(2w+2)

Multiply everything out:

16 - 4w = 6w + 6

Add 4w to each side so the "w" is on one side:

16 - 4w + 4w = 6w + 6 + 4w

Combine like terms

16 = 10w + 6

Subtract 6 from both sides

16 - 6 = 10w + 6 - 6

Combine like terms

10 = 10w

Divide each side by 10 so our w is alone:

10/10 = 10w/10

1 = w <-- Your answer

2. 9(4b - 1) = 2(9b + 3)

Multiply it out

36b - 9 = 18b + 6

Subtract 18b from each side.

36b - 9 -18b = 18b + 6 -18b

Combine like terms

18b - 9 = 6

Add nine to each side

18b - 9 + 9 = 6 + 9

Combine like terms again

18b = 15

Divide each side by 18

18b/18 = 15/18

b = 15/18

Simplify the fraction:

b = 5/6 <-- Your answer.

There ya go! :-D

Oops, gave you the wrong answer for the second one. It's 5/6 not 5/9.

Answer 6

not one of the above procedures. in simple terms multiply by and use mixture. flow 6(-1x+2y=a million) -----> = -6x+12y=6 The x words cancel as quickly as we combine the equation and we get 15y=15, so y=a million Plug that in the time of to the two equation: 6x+3(a million)=9, so x=a million. So the answer is (a million,a million) and you will verify that by employing plugging in and checking for equality.

Answer 7

8-4w=6w+6
8-6=4w+6w
2=10w
5=w

36b-9=18b+6
36b-18b=6+9
18b=15
b=-15/18
b= - 5/6